Fully differential Higgs boson pair production at N$^3$LO with top quark mass effects
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| Format: | Preprint |
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2026
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| _version_ | 1866910004177534976 |
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| author | Chen, Xuan Dai, Yuesheng Li, Hai Tao Li, Shi-Yuan Shao, Hua-Sheng Wang, Jian |
| author_facet | Chen, Xuan Dai, Yuesheng Li, Hai Tao Li, Shi-Yuan Shao, Hua-Sheng Wang, Jian |
| contents | Higgs-boson pair production is of fundamental importance for probing the Higgs potential. At hadron colliders, the dominant production channel proceeds via gluon-gluon fusion (ggF) mediated by a top-quark loop. We report the first fully differential predictions for Higgs-boson pair production through ggF at next-to-next-to-next-to-leading order (N$^3$LO) in the strong coupling $α_s$ in the heavy-top-quark limit (HTL). Fiducial cross section and selected differential distributions are presented at a center-of-mass energy of $\sqrt{s}$ = 14 TeV, under realistic experimental selection cuts. The N$^3$LO QCD corrections reduce the scale uncertainties of the next-to-next-to-leading order fiducial and differential predictions by approximately a factor of three, bringing the theoretical uncertainty to the percent level in the HTL. After incorporating top-quark-mass effects at next-to-leading order in $α_s$, we provide one of the most precise parton-level differential predictions to date for ongoing experimental searches for Higgs-boson pair production at the LHC. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_19990 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fully differential Higgs boson pair production at N$^3$LO with top quark mass effects Chen, Xuan Dai, Yuesheng Li, Hai Tao Li, Shi-Yuan Shao, Hua-Sheng Wang, Jian High Energy Physics - Phenomenology High Energy Physics - Experiment Higgs-boson pair production is of fundamental importance for probing the Higgs potential. At hadron colliders, the dominant production channel proceeds via gluon-gluon fusion (ggF) mediated by a top-quark loop. We report the first fully differential predictions for Higgs-boson pair production through ggF at next-to-next-to-next-to-leading order (N$^3$LO) in the strong coupling $α_s$ in the heavy-top-quark limit (HTL). Fiducial cross section and selected differential distributions are presented at a center-of-mass energy of $\sqrt{s}$ = 14 TeV, under realistic experimental selection cuts. The N$^3$LO QCD corrections reduce the scale uncertainties of the next-to-next-to-leading order fiducial and differential predictions by approximately a factor of three, bringing the theoretical uncertainty to the percent level in the HTL. After incorporating top-quark-mass effects at next-to-leading order in $α_s$, we provide one of the most precise parton-level differential predictions to date for ongoing experimental searches for Higgs-boson pair production at the LHC. |
| title | Fully differential Higgs boson pair production at N$^3$LO with top quark mass effects |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2601.19990 |